Finding the Third Proportional to 12,606 and 19,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,606 : 19,606.50 = 19,606.50 : x
2. Step 2: Convert to fraction form
   12,606/19,606.50 = 19,606.50/x
3. Step 3: Cross multiply
   12,606x = 19,606.50 × 19,606.50
4. Step 4: Simplify right side
   12,606x = 384,414,842.25
5. Step 5: Solve for x
   x = 384,414,842.25/12,606
6. Step 6: Final answer
   x = 30,494.59